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Finding the Fourth Proportional to 1,267.19, 1,748.45 and 769.55

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Solution

The fourth proportional to 1,267.19, 1,748.45 and 769.55 is: 1,061.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.19 : 1,748.45 = 769.55 : x
  2. Step 2: Convert to fraction form
    1,267.19/1,748.45 = 769.55/x
  3. Step 3: Cross multiply
    1,267.19x = 1,748.45 × 769.55
  4. Step 4: Simplify right side
    1,267.19x = 1,345,519.70
  5. Step 5: Solve for x
    x = 1,345,519.70/1,267.19
  6. Step 6: Final answer
    x = 1,061.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.